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GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
Expert's post 00:00

Question Stats: 76% (00:27) correct 23% (00:33) wrong based on 165 sessions
 Quantity A Quantity B $$(250)(492)$$ $$\frac{492,000}{4}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
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Re: GRE Math Challenge #52 [#permalink]
1
KUDOS
Expert's post
sandy wrote:
Quantity A: (250)(492)
Quantity B: 492,000/4

No need to activate that clunky onscreen GRE calculator!!

Notice that 250 = 1000/4
So, let's take quantity A and replace 250 with 1000/4.
We get:
Quantity A:
(250)(492) = (1000/4)(492)
= 492,000/4

PERFECT! Compare with quantity B
Quantity B: 492,000/4

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Intern Joined: 04 Aug 2019
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Re: GRE Math Challenge #52 [#permalink]
GreenlightTestPrep wrote:
sandy wrote:
Quantity A: (250)(492)
Quantity B: 492,000/4

No need to activate that clunky onscreen GRE calculator!!

Notice that 250 = 1000/4
So, let's take quantity A and replace 250 with 1000/4.
We get:
Quantity A:
(250)(492) = (1000/4)(492)
= 492,000/4

PERFECT! Compare with quantity B
Quantity B: 492,000/4

Cheers,
Brent

Hi Brent,

I don't follow your explanation. Can you explain it a different way maybe? I am unsure as to why we're noticing that 250=1000/4 and replacing. GRE Instructor Joined: 10 Apr 2015
Posts: 3914
Followers: 164

Kudos [?]: 4781  , given: 70

Re: GRE Math Challenge #52 [#permalink]
1
KUDOS
Expert's post
JNeen wrote:

Hi Brent,

I don't follow your explanation. Can you explain it a different way maybe? I am unsure as to why we're noticing that 250=1000/4 and replacing.

Hi JNeen,

The two quantities are initially hard to compare because one quantity is in the form of a fraction with denominator 4 (Quantity B: 492,000/4) and the other quantity is not in the form of a fraction.

So, to make the comparison easier, I thought I might convert Quantity into a fraction with denominator 4.

So, I used the fact that we can rewrite 250 as a fraction with denominator 4.

We get:
Quantity A: $$(250)(492)=(\frac{1000}{4})(492)=(\frac{1000}{4})(\frac{492}{1}) = \frac{492,000}{4}$$

Quantity B: $$\frac{492,000}{4}$$

Does that help?

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com  Intern Joined: 15 Aug 2019
Posts: 31
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Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
1
KUDOS
For A, 492*250
For B, 492,000=492*1000/4=492*250
So ans is C
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Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
First step is to look for common factors in both the quantities.
Since 492 is common, divide both the quantities by 492
You will get 250 on one side and 1000/4 on the other side
we know that 100/4 is 25. Therefore 1000/4 is 250
Intern Joined: 04 Aug 2019
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Re: GRE Math Challenge #52 [#permalink]
GreenlightTestPrep wrote:
JNeen wrote:

Hi Brent,

I don't follow your explanation. Can you explain it a different way maybe? I am unsure as to why we're noticing that 250=1000/4 and replacing.

Hi JNeen,

The two quantities are initially hard to compare because one quantity is in the form of a fraction with denominator 4 (Quantity B: 492,000/4) and the other quantity is not in the form of a fraction.

So, to make the comparison easier, I thought I might convert Quantity into a fraction with denominator 4.

So, I used the fact that we can rewrite 250 as a fraction with denominator 4.

We get:
Quantity A: $$(250)(492)=(\frac{1000}{4})(492)=(\frac{1000}{4})(\frac{492}{1}) = \frac{492,000}{4}$$

Quantity B: $$\frac{492,000}{4}$$

Does that help?

Cheers,
Brent

Definitely does. Thank you!
Intern Joined: 24 Aug 2019
Posts: 30
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Kudos [?]: 6 , given: 1

Re: GRE Math Challenge #52- Quantity A: (250)(492) [#permalink]
c Re: GRE Math Challenge #52- Quantity A: (250)(492)   [#permalink] 25 Aug 2019, 08:26
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